MathDB

perpendicular non intersecting chords wanted

Source: Sharygin 2005 VIII CR 1

August 18, 2019

geometryChordsperpendicular

Problem Statement

The chords

AC

and

BD

of the circle intersect at point

P

. The perpendiculars to

AC

and

BD

at points

C

and

D

, respectively, intersect at point

Q

. Prove that the lines

AB

and

PQ

are perpendicular.

Back to Problems View on AoPS